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Diffstat (limited to 'test/regress/regress0/ho/fta0409.smt2')
| -rw-r--r-- | test/regress/regress0/ho/fta0409.smt2 | 427 |
1 files changed, 0 insertions, 427 deletions
diff --git a/test/regress/regress0/ho/fta0409.smt2 b/test/regress/regress0/ho/fta0409.smt2 deleted file mode 100644 index 51ac5f2da..000000000 --- a/test/regress/regress0/ho/fta0409.smt2 +++ /dev/null @@ -1,427 +0,0 @@ -; COMMAND-LINE: --uf-ho -; EXPECT: unsat -(set-logic ALL) -(set-info :status unsat) -(declare-sort Nat$ 0) -(declare-sort Complex$ 0) -(declare-sort Nat_poly$ 0) -(declare-sort Complex_poly$ 0) -(declare-sort Complex_poly_poly$ 0) -(declare-fun n$ () Nat$) -(declare-fun q$ () Complex_poly$) -(declare-fun r$ () Complex_poly$) -(declare-fun dvd$ (Complex_poly$ Complex_poly$) Bool) -(declare-fun one$ () Nat$) -(declare-fun suc$ (Nat$) Nat$) -(declare-fun dvd$a (Complex$ Complex$) Bool) -(declare-fun dvd$b (Nat$ Nat$) Bool) -(declare-fun dvd$c (Complex_poly_poly$ Complex_poly_poly$) Bool) -(declare-fun dvd$d (Nat_poly$ Nat_poly$) Bool) -(declare-fun one$a () Complex_poly$) -(declare-fun one$b () Complex$) -(declare-fun one$c () Nat_poly$) -(declare-fun plus$ (Complex$ Complex$) Complex$) -(declare-fun poly$ (Complex_poly$) (-> Complex$ Complex$)) -(declare-fun zero$ () Complex$) -(declare-fun coeff$ (Complex_poly_poly$ Nat$) Complex_poly$) -(declare-fun monom$ (Complex$ Nat$) Complex_poly$) -(declare-fun order$ (Complex$ Complex_poly$) Nat$) -(declare-fun pCons$ (Complex$ Complex_poly$) Complex_poly$) -(declare-fun plus$a (Nat$ Nat$) Nat$) -(declare-fun plus$b (Nat_poly$ Nat_poly$) Nat_poly$) -(declare-fun plus$c (Complex_poly$ Complex_poly$) Complex_poly$) -(declare-fun poly$a (Complex_poly_poly$ Complex_poly$) Complex_poly$) -(declare-fun poly$b (Nat_poly$ Nat$) Nat$) -(declare-fun power$ (Complex_poly$ Nat$) Complex_poly$) -(declare-fun psize$ (Complex_poly$) Nat$) -(declare-fun times$ (Nat$ Nat$) Nat$) -(declare-fun zero$a () Nat$) -(declare-fun zero$b () Complex_poly_poly$) -(declare-fun zero$c () Complex_poly$) -(declare-fun zero$d () Nat_poly$) -(declare-fun coeff$a (Nat_poly$ Nat$) Nat$) -(declare-fun coeff$b (Complex_poly$ Nat$) Complex$) -(declare-fun degree$ (Complex_poly_poly$) Nat$) -(declare-fun monom$a (Complex_poly$ Nat$) Complex_poly_poly$) -(declare-fun monom$b (Nat$ Nat$) Nat_poly$) -(declare-fun order$a (Complex_poly$ Complex_poly_poly$) Nat$) -(declare-fun pCons$a (Complex_poly$ Complex_poly_poly$) Complex_poly_poly$) -(declare-fun pCons$b (Nat$ Nat_poly$) Nat_poly$) -(declare-fun power$a (Complex_poly_poly$ Nat$) Complex_poly_poly$) -(declare-fun power$b (Nat_poly$ Nat$) Nat_poly$) -(declare-fun power$c (Nat$ Nat$) Nat$) -(declare-fun power$d (Complex$ Nat$) Complex$) -(declare-fun degree$a (Nat_poly$) Nat$) -(declare-fun degree$b (Complex_poly$) Nat$) -(declare-fun is_zero$ (Complex_poly$) Bool) -(declare-fun less_eq$ (Nat$ Nat$) Bool) -(declare-fun of_bool$ (Bool) Complex$) -(declare-fun constant$ ((-> Complex$ Complex$)) Bool) -(declare-fun of_bool$a (Bool) Complex_poly$) -(declare-fun of_bool$b (Bool) Nat$) -(declare-fun pcompose$ (Complex_poly$ Complex_poly$) Complex_poly$) -(declare-fun pcompose$a (Complex_poly_poly$ Complex_poly_poly$) Complex_poly_poly$) -(declare-fun pcompose$b (Nat_poly$ Nat_poly$) Nat_poly$) -(declare-fun poly_shift$ (Nat$ Complex_poly$) Complex_poly$) -(declare-fun offset_poly$ (Complex_poly$ Complex$) Complex_poly$) -(declare-fun poly_cutoff$ (Nat$ Complex_poly$) Complex_poly$) -(declare-fun rsquarefree$ (Complex_poly$) Bool) -(declare-fun offset_poly$a (Nat_poly$ Nat$) Nat_poly$) -(declare-fun reflect_poly$ (Complex_poly$) Complex_poly$) -(declare-fun reflect_poly$a (Complex_poly_poly$) Complex_poly_poly$) -(declare-fun reflect_poly$b (Nat_poly$) Nat_poly$) -(declare-fun synthetic_div$ (Complex_poly$ Complex$) Complex_poly$) -(assert (! (not (= (poly$ (power$ q$ n$)) (poly$ r$))) :named a0)) -(assert (! (forall ((?v0 Complex$)) (= (poly$ (power$ q$ n$) ?v0) (poly$ r$ ?v0))) :named a1)) -(assert (! (forall ((?v0 Complex_poly_poly$) (?v1 Nat$) (?v2 Complex_poly$)) (= (poly$a (power$a ?v0 ?v1) ?v2) (power$ (poly$a ?v0 ?v2) ?v1))) :named a2)) -(assert (! (forall ((?v0 Nat_poly$) (?v1 Nat$) (?v2 Nat$)) (= (poly$b (power$b ?v0 ?v1) ?v2) (power$c (poly$b ?v0 ?v2) ?v1))) :named a3)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$) (?v2 Complex$)) (= (poly$ (power$ ?v0 ?v1) ?v2) (power$d (poly$ ?v0 ?v2) ?v1))) :named a4)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (= (= (poly$ ?v0) (poly$ ?v1)) (= ?v0 ?v1))) :named a5)) -(assert (! (forall ((?v0 Complex_poly$)) (=> (not (constant$ (poly$ ?v0))) (exists ((?v1 Complex$)) (= (poly$ ?v0 ?v1) zero$)))) :named a6)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$)) (= (reflect_poly$ (power$ ?v0 ?v1)) (power$ (reflect_poly$ ?v0) ?v1))) :named a7)) -(assert (! (forall ((?v0 Complex_poly_poly$) (?v1 Nat$)) (= (coeff$ (power$a ?v0 ?v1) zero$a) (power$ (coeff$ ?v0 zero$a) ?v1))) :named a8)) -(assert (! (forall ((?v0 Nat_poly$) (?v1 Nat$)) (= (coeff$a (power$b ?v0 ?v1) zero$a) (power$c (coeff$a ?v0 zero$a) ?v1))) :named a9)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$)) (= (coeff$b (power$ ?v0 ?v1) zero$a) (power$d (coeff$b ?v0 zero$a) ?v1))) :named a10)) -(assert (! (forall ((?v0 (-> Complex$ Complex$))) (= (constant$ ?v0) (forall ((?v1 Complex$) (?v2 Complex$)) (= (?v0 ?v1) (?v0 ?v2))))) :named a11)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex$)) (exists ((?v2 Complex_poly$)) (and (= (psize$ ?v2) (psize$ ?v0)) (forall ((?v3 Complex$)) (= (poly$ ?v2 ?v3) (poly$ ?v0 (plus$ ?v1 ?v3))))))) :named a12)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex$) (?v2 Complex$)) (= (poly$ (offset_poly$ ?v0 ?v1) ?v2) (poly$ ?v0 (plus$ ?v1 ?v2)))) :named a13)) -(assert (! (forall ((?v0 Nat_poly$) (?v1 Nat$) (?v2 Nat$)) (= (poly$b (offset_poly$a ?v0 ?v1) ?v2) (poly$b ?v0 (plus$a ?v1 ?v2)))) :named a14)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$) (?v2 Complex$)) (= (poly$ (pcompose$ ?v0 ?v1) ?v2) (poly$ ?v0 (poly$ ?v1 ?v2)))) :named a15)) -(assert (! (forall ((?v0 Complex_poly$)) (= (power$ ?v0 one$) ?v0)) :named a16)) -(assert (! (forall ((?v0 Nat$)) (= (power$c ?v0 one$) ?v0)) :named a17)) -(assert (! (forall ((?v0 Nat$)) (= (power$ one$a ?v0) one$a)) :named a18)) -(assert (! (forall ((?v0 Nat$)) (= (power$c one$ ?v0) one$)) :named a19)) -(assert (! (forall ((?v0 Complex_poly_poly$) (?v1 Nat$)) (= (coeff$ (power$a ?v0 ?v1) (degree$ (power$a ?v0 ?v1))) (power$ (coeff$ ?v0 (degree$ ?v0)) ?v1))) :named a20)) -(assert (! (forall ((?v0 Nat_poly$) (?v1 Nat$)) (= (coeff$a (power$b ?v0 ?v1) (degree$a (power$b ?v0 ?v1))) (power$c (coeff$a ?v0 (degree$a ?v0)) ?v1))) :named a21)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$)) (= (coeff$b (power$ ?v0 ?v1) (degree$b (power$ ?v0 ?v1))) (power$d (coeff$b ?v0 (degree$b ?v0)) ?v1))) :named a22)) -(assert (! (forall ((?v0 Nat$)) (= (coeff$ zero$b ?v0) zero$c)) :named a23)) -(assert (! (forall ((?v0 Nat$)) (= (coeff$a zero$d ?v0) zero$a)) :named a24)) -(assert (! (forall ((?v0 Nat$)) (= (coeff$b zero$c ?v0) zero$)) :named a25)) -(assert (! (forall ((?v0 Nat_poly$) (?v1 Nat_poly$) (?v2 Nat$)) (= (coeff$a (plus$b ?v0 ?v1) ?v2) (plus$a (coeff$a ?v0 ?v2) (coeff$a ?v1 ?v2)))) :named a26)) -(assert (! (forall ((?v0 Complex_poly$)) (= (poly$a zero$b ?v0) zero$c)) :named a27)) -(assert (! (forall ((?v0 Nat$)) (= (poly$b zero$d ?v0) zero$a)) :named a28)) -(assert (! (forall ((?v0 Complex$)) (= (poly$ zero$c ?v0) zero$)) :named a29)) -(assert (! (= (degree$b one$a) zero$a) :named a30)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$) (?v2 Complex$)) (= (poly$ (plus$c ?v0 ?v1) ?v2) (plus$ (poly$ ?v0 ?v2) (poly$ ?v1 ?v2)))) :named a31)) -(assert (! (forall ((?v0 Nat_poly$) (?v1 Nat_poly$) (?v2 Nat$)) (= (poly$b (plus$b ?v0 ?v1) ?v2) (plus$a (poly$b ?v0 ?v2) (poly$b ?v1 ?v2)))) :named a32)) -(assert (! (forall ((?v0 Complex$)) (= (poly$ one$a ?v0) one$b)) :named a33)) -(assert (! (forall ((?v0 Nat$)) (= (poly$b one$c ?v0) one$)) :named a34)) -(assert (! (forall ((?v0 Complex_poly$)) (= (= (coeff$b ?v0 (degree$b ?v0)) zero$) (= ?v0 zero$c))) :named a35)) -(assert (! (forall ((?v0 Complex_poly_poly$)) (= (= (coeff$ ?v0 (degree$ ?v0)) zero$c) (= ?v0 zero$b))) :named a36)) -(assert (! (forall ((?v0 Nat_poly$)) (= (= (coeff$a ?v0 (degree$a ?v0)) zero$a) (= ?v0 zero$d))) :named a37)) -(assert (! (= (coeff$b one$a (degree$b one$a)) one$b) :named a38)) -(assert (! (= (coeff$a one$c (degree$a one$c)) one$) :named a39)) -(assert (! (forall ((?v0 Complex_poly$)) (= (= (poly$ (reflect_poly$ ?v0) zero$) zero$) (= ?v0 zero$c))) :named a40)) -(assert (! (forall ((?v0 Complex_poly_poly$)) (= (= (poly$a (reflect_poly$a ?v0) zero$c) zero$c) (= ?v0 zero$b))) :named a41)) -(assert (! (forall ((?v0 Nat_poly$)) (= (= (poly$b (reflect_poly$b ?v0) zero$a) zero$a) (= ?v0 zero$d))) :named a42)) -(assert (! (forall ((?v0 Complex_poly$)) (=> (not (= (coeff$b ?v0 zero$a) zero$)) (= (reflect_poly$ (reflect_poly$ ?v0)) ?v0))) :named a43)) -(assert (! (forall ((?v0 Complex_poly_poly$)) (=> (not (= (coeff$ ?v0 zero$a) zero$c)) (= (reflect_poly$a (reflect_poly$a ?v0)) ?v0))) :named a44)) -(assert (! (forall ((?v0 Nat_poly$)) (=> (not (= (coeff$a ?v0 zero$a) zero$a)) (= (reflect_poly$b (reflect_poly$b ?v0)) ?v0))) :named a45)) -(assert (! (forall ((?v0 Complex_poly$)) (= (= (coeff$b (reflect_poly$ ?v0) zero$a) zero$) (= ?v0 zero$c))) :named a46)) -(assert (! (forall ((?v0 Complex_poly_poly$)) (= (= (coeff$ (reflect_poly$a ?v0) zero$a) zero$c) (= ?v0 zero$b))) :named a47)) -(assert (! (forall ((?v0 Nat_poly$)) (= (= (coeff$a (reflect_poly$b ?v0) zero$a) zero$a) (= ?v0 zero$d))) :named a48)) -(assert (! (forall ((?v0 Complex_poly$)) (= (coeff$b (reflect_poly$ ?v0) zero$a) (coeff$b ?v0 (degree$b ?v0)))) :named a49)) -(assert (! (forall ((?v0 Complex_poly$)) (=> (not (= (coeff$b ?v0 zero$a) zero$)) (= (degree$b (reflect_poly$ ?v0)) (degree$b ?v0)))) :named a50)) -(assert (! (forall ((?v0 Complex_poly_poly$)) (=> (not (= (coeff$ ?v0 zero$a) zero$c)) (= (degree$ (reflect_poly$a ?v0)) (degree$ ?v0)))) :named a51)) -(assert (! (forall ((?v0 Nat_poly$)) (=> (not (= (coeff$a ?v0 zero$a) zero$a)) (= (degree$a (reflect_poly$b ?v0)) (degree$a ?v0)))) :named a52)) -(assert (! (forall ((?v0 Complex_poly$)) (= (poly$ (reflect_poly$ ?v0) zero$) (coeff$b ?v0 (degree$b ?v0)))) :named a53)) -(assert (! (forall ((?v0 Complex_poly_poly$)) (= (poly$a (reflect_poly$a ?v0) zero$c) (coeff$ ?v0 (degree$ ?v0)))) :named a54)) -(assert (! (forall ((?v0 Nat_poly$)) (= (poly$b (reflect_poly$b ?v0) zero$a) (coeff$a ?v0 (degree$a ?v0)))) :named a55)) -(assert (! (forall ((?v0 Complex_poly$)) (= (poly$ ?v0 zero$) (coeff$b ?v0 zero$a))) :named a56)) -(assert (! (forall ((?v0 Complex_poly_poly$)) (= (poly$a ?v0 zero$c) (coeff$ ?v0 zero$a))) :named a57)) -(assert (! (forall ((?v0 Nat_poly$)) (= (poly$b ?v0 zero$a) (coeff$a ?v0 zero$a))) :named a58)) -(assert (! (forall ((?v0 Nat_poly$) (?v1 Nat_poly$) (?v2 Nat$)) (= (coeff$a (plus$b ?v0 ?v1) ?v2) (plus$a (coeff$a ?v0 ?v2) (coeff$a ?v1 ?v2)))) :named a59)) -(assert (! (forall ((?v0 Complex_poly$)) (= (forall ((?v1 Complex$)) (= (poly$ ?v0 ?v1) zero$)) (= ?v0 zero$c))) :named a60)) -(assert (! (forall ((?v0 Complex_poly_poly$)) (= (forall ((?v1 Complex_poly$)) (= (poly$a ?v0 ?v1) zero$c)) (= ?v0 zero$b))) :named a61)) -(assert (! (forall ((?v0 Nat$)) (= (coeff$ zero$b ?v0) zero$c)) :named a62)) -(assert (! (forall ((?v0 Nat$)) (= (coeff$a zero$d ?v0) zero$a)) :named a63)) -(assert (! (forall ((?v0 Nat$)) (= (coeff$b zero$c ?v0) zero$)) :named a64)) -(assert (! (forall ((?v0 Complex_poly_poly$)) (=> (not (= ?v0 zero$b)) (not (= (coeff$ ?v0 (degree$ ?v0)) zero$c)))) :named a65)) -(assert (! (forall ((?v0 Nat_poly$)) (=> (not (= ?v0 zero$d)) (not (= (coeff$a ?v0 (degree$a ?v0)) zero$a)))) :named a66)) -(assert (! (forall ((?v0 Complex_poly$)) (=> (not (= ?v0 zero$c)) (not (= (coeff$b ?v0 (degree$b ?v0)) zero$)))) :named a67)) -(assert (! (forall ((?v0 Complex_poly$)) (! (= (power$ ?v0 zero$a) one$a) :pattern ((power$ ?v0)))) :named a68)) -(assert (! (forall ((?v0 Nat$)) (! (= (power$c ?v0 zero$a) one$) :pattern ((power$c ?v0)))) :named a69)) -(assert (! (forall ((?v0 Nat$)) (= (power$d zero$ ?v0) (ite (= ?v0 zero$a) one$b zero$))) :named a70)) -(assert (! (forall ((?v0 Nat$)) (= (power$ zero$c ?v0) (ite (= ?v0 zero$a) one$a zero$c))) :named a71)) -(assert (! (forall ((?v0 Nat$)) (= (power$c zero$a ?v0) (ite (= ?v0 zero$a) one$ zero$a))) :named a72)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex$)) (= (degree$b (offset_poly$ ?v0 ?v1)) (degree$b ?v0))) :named a73)) -(assert (! (forall ((?v0 Complex_poly$)) (= (constant$ (poly$ ?v0)) (= (degree$b ?v0) zero$a))) :named a74)) -(assert (! (forall ((?v0 Complex$)) (= zero$ (poly$ zero$c ?v0))) :named a75)) -(assert (! (forall ((?v0 Complex_poly$)) (= zero$c (poly$a zero$b ?v0))) :named a76)) -(assert (! (forall ((?v0 Complex_poly$)) (= (exists ((?v1 Complex$)) (and (= (poly$ ?v0 ?v1) zero$) (not (= (poly$ zero$c ?v1) zero$)))) false)) :named a77)) -(assert (! (forall ((?v0 Complex_poly_poly$)) (= (exists ((?v1 Complex_poly$)) (and (= (poly$a ?v0 ?v1) zero$c) (not (= (poly$a zero$b ?v1) zero$c)))) false)) :named a78)) -(assert (! (forall ((?v0 Nat_poly$)) (= (exists ((?v1 Nat$)) (and (= (poly$b ?v0 ?v1) zero$a) (not (= (poly$b zero$d ?v1) zero$a)))) false)) :named a79)) -(assert (! (= (exists ((?v0 Complex_poly$)) (not (= (poly$a zero$b ?v0) zero$c))) false) :named a80)) -(assert (! (= (exists ((?v0 Nat$)) (not (= (poly$b zero$d ?v0) zero$a))) false) :named a81)) -(assert (! (= (exists ((?v0 Complex$)) (not (= (poly$ zero$c ?v0) zero$))) false) :named a82)) -(assert (! (= (exists ((?v0 Complex_poly$)) (= (poly$a zero$b ?v0) zero$c)) true) :named a83)) -(assert (! (= (exists ((?v0 Nat$)) (= (poly$b zero$d ?v0) zero$a)) true) :named a84)) -(assert (! (= (exists ((?v0 Complex$)) (= (poly$ zero$c ?v0) zero$)) true) :named a85)) -(assert (! (forall ((?v0 Complex$) (?v1 Nat$)) (=> (not (= ?v0 zero$)) (not (= (power$d ?v0 ?v1) zero$)))) :named a86)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$)) (=> (not (= ?v0 zero$c)) (not (= (power$ ?v0 ?v1) zero$c)))) :named a87)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (=> (not (= ?v0 zero$a)) (not (= (power$c ?v0 ?v1) zero$a)))) :named a88)) -(assert (! (forall ((?v0 Complex$)) (= (plus$ zero$ ?v0) ?v0)) :named a89)) -(assert (! (forall ((?v0 Complex_poly$)) (= (plus$c zero$c ?v0) ?v0)) :named a90)) -(assert (! (forall ((?v0 Nat$)) (= (plus$a zero$a ?v0) ?v0)) :named a91)) -(assert (! (forall ((?v0 Complex$)) (= (plus$ ?v0 zero$) ?v0)) :named a92)) -(assert (! (forall ((?v0 Complex_poly$)) (= (plus$c ?v0 zero$c) ?v0)) :named a93)) -(assert (! (forall ((?v0 Nat$)) (= (plus$a ?v0 zero$a) ?v0)) :named a94)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex$)) (= (= (plus$ ?v0 ?v1) ?v1) (= ?v0 zero$))) :named a95)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (= (= (plus$c ?v0 ?v1) ?v1) (= ?v0 zero$c))) :named a96)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (plus$a ?v0 ?v1) ?v1) (= ?v0 zero$a))) :named a97)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex$)) (= (= (plus$ ?v0 ?v1) ?v0) (= ?v1 zero$))) :named a98)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (= (= (plus$c ?v0 ?v1) ?v0) (= ?v1 zero$c))) :named a99)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (plus$a ?v0 ?v1) ?v0) (= ?v1 zero$a))) :named a100)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex$)) (= (= ?v0 (plus$ ?v1 ?v0)) (= ?v1 zero$))) :named a101)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (= (= ?v0 (plus$c ?v1 ?v0)) (= ?v1 zero$c))) :named a102)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= ?v0 (plus$a ?v1 ?v0)) (= ?v1 zero$a))) :named a103)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex$)) (= (= ?v0 (plus$ ?v0 ?v1)) (= ?v1 zero$))) :named a104)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (= (= ?v0 (plus$c ?v0 ?v1)) (= ?v1 zero$c))) :named a105)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= ?v0 (plus$a ?v0 ?v1)) (= ?v1 zero$a))) :named a106)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (plus$a ?v0 ?v1) zero$a) (and (= ?v0 zero$a) (= ?v1 zero$a)))) :named a107)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= zero$a (plus$a ?v0 ?v1)) (and (= ?v0 zero$a) (= ?v1 zero$a)))) :named a108)) -(assert (! (forall ((?v0 Complex_poly$)) (! (= (power$ ?v0 zero$a) one$a) :pattern ((power$ ?v0)))) :named a109)) -(assert (! (forall ((?v0 Nat$)) (! (= (power$c ?v0 zero$a) one$) :pattern ((power$c ?v0)))) :named a110)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (= (plus$a ?v0 ?v1) (plus$a ?v2 ?v1)) (= ?v0 ?v2))) :named a111)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (= (plus$a ?v0 ?v1) (plus$a ?v0 ?v2)) (= ?v1 ?v2))) :named a112)) -(assert (! (forall ((?v0 Complex_poly$)) (= (pcompose$ zero$c ?v0) zero$c)) :named a113)) -(assert (! (= (reflect_poly$ zero$c) zero$c) :named a114)) -(assert (! (= (degree$b zero$c) zero$a) :named a115)) -(assert (! (forall ((?v0 Complex_poly$)) (= (= (psize$ ?v0) zero$a) (= ?v0 zero$c))) :named a116)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex$)) (= (= (offset_poly$ ?v0 ?v1) zero$c) (= ?v0 zero$c))) :named a117)) -(assert (! (forall ((?v0 Complex$)) (= (offset_poly$ zero$c ?v0) zero$c)) :named a118)) -(assert (! (forall ((?v0 Complex_poly$)) (= (exists ((?v1 Complex$)) (not (= (poly$ ?v0 ?v1) zero$))) (not (= ?v0 zero$c)))) :named a119)) -(assert (! (forall ((?v0 Complex$)) (= (= zero$ ?v0) (= ?v0 zero$))) :named a120)) -(assert (! (forall ((?v0 Complex_poly$)) (= (= zero$c ?v0) (= ?v0 zero$c))) :named a121)) -(assert (! (forall ((?v0 Nat$)) (= (= zero$a ?v0) (= ?v0 zero$a))) :named a122)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (=> (= (plus$a ?v0 ?v1) (plus$a ?v2 ?v1)) (= ?v0 ?v2))) :named a123)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (=> (= (plus$a ?v0 ?v1) (plus$a ?v0 ?v2)) (= ?v1 ?v2))) :named a124)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (plus$a ?v0 (plus$a ?v1 ?v2)) (plus$a ?v1 (plus$a ?v0 ?v2)))) :named a125)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (plus$a ?v0 ?v1) (plus$a ?v1 ?v0))) :named a126)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (plus$a (plus$a ?v0 ?v1) ?v2) (plus$a ?v0 (plus$a ?v1 ?v2)))) :named a127)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$) (?v3 Nat$)) (= (plus$a (plus$a ?v0 ?v1) (plus$a ?v2 ?v3)) (plus$a (plus$a ?v0 ?v2) (plus$a ?v1 ?v3)))) :named a128)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (plus$a (plus$a ?v0 ?v1) ?v2) (plus$a ?v0 (plus$a ?v1 ?v2)))) :named a129)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (plus$a ?v0 (plus$a ?v1 ?v2)) (plus$a ?v1 (plus$a ?v0 ?v2)))) :named a130)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (plus$a (plus$a ?v0 ?v1) ?v2) (plus$a (plus$a ?v0 ?v2) ?v1))) :named a131)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (plus$a ?v0 ?v1) (plus$a ?v1 ?v0))) :named a132)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (plus$a ?v0 (plus$a ?v1 ?v2)) (plus$a (plus$a ?v0 ?v1) ?v2))) :named a133)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$) (?v3 Nat$)) (=> (and (= ?v0 ?v1) (= ?v2 ?v3)) (= (plus$a ?v0 ?v2) (plus$a ?v1 ?v3)))) :named a134)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (plus$a (plus$a ?v0 ?v1) ?v2) (plus$a ?v0 (plus$a ?v1 ?v2)))) :named a135)) -(assert (! (forall ((?v0 Nat$)) (= (= one$ ?v0) (= ?v0 one$))) :named a136)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex$)) (= (= ?v0 (plus$ ?v0 ?v1)) (= ?v1 zero$))) :named a137)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (= (= ?v0 (plus$c ?v0 ?v1)) (= ?v1 zero$c))) :named a138)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= ?v0 (plus$a ?v0 ?v1)) (= ?v1 zero$a))) :named a139)) -(assert (! (forall ((?v0 Complex$)) (= (plus$ zero$ ?v0) ?v0)) :named a140)) -(assert (! (forall ((?v0 Complex_poly$)) (= (plus$c zero$c ?v0) ?v0)) :named a141)) -(assert (! (forall ((?v0 Complex$)) (= (plus$ ?v0 zero$) ?v0)) :named a142)) -(assert (! (forall ((?v0 Complex_poly$)) (= (plus$c ?v0 zero$c) ?v0)) :named a143)) -(assert (! (forall ((?v0 Nat$)) (= (plus$a ?v0 zero$a) ?v0)) :named a144)) -(assert (! (forall ((?v0 Complex$)) (= (plus$ zero$ ?v0) ?v0)) :named a145)) -(assert (! (forall ((?v0 Complex_poly$)) (= (plus$c zero$c ?v0) ?v0)) :named a146)) -(assert (! (forall ((?v0 Nat$)) (= (plus$a zero$a ?v0) ?v0)) :named a147)) -(assert (! (forall ((?v0 Complex$)) (= (plus$ zero$ ?v0) ?v0)) :named a148)) -(assert (! (forall ((?v0 Complex_poly$)) (= (plus$c zero$c ?v0) ?v0)) :named a149)) -(assert (! (forall ((?v0 Nat$)) (= (plus$a zero$a ?v0) ?v0)) :named a150)) -(assert (! (forall ((?v0 Complex$)) (= (plus$ ?v0 zero$) ?v0)) :named a151)) -(assert (! (forall ((?v0 Complex_poly$)) (= (plus$c ?v0 zero$c) ?v0)) :named a152)) -(assert (! (forall ((?v0 Nat$)) (= (plus$a ?v0 zero$a) ?v0)) :named a153)) -(assert (! (forall ((?v0 Complex_poly$)) (= (power$ ?v0 one$) ?v0)) :named a154)) -(assert (! (forall ((?v0 Nat$)) (= (power$c ?v0 one$) ?v0)) :named a155)) -(assert (! (forall ((?v0 Nat$)) (= (poly_cutoff$ ?v0 one$a) (ite (= ?v0 zero$a) zero$c one$a))) :named a156)) -(assert (! (forall ((?v0 Nat$)) (= (plus$a ?v0 zero$a) ?v0)) :named a157)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (plus$a ?v0 ?v1) zero$a) (and (= ?v0 zero$a) (= ?v1 zero$a)))) :named a158)) -(assert (! (forall ((?v0 Nat$)) (= (poly_shift$ ?v0 one$a) (ite (= ?v0 zero$a) one$a zero$c))) :named a159)) -(assert (! (not (= zero$ one$b)) :named a160)) -(assert (! (not (= zero$c one$a)) :named a161)) -(assert (! (not (= zero$a one$)) :named a162)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex$)) (= (= (synthetic_div$ ?v0 ?v1) zero$c) (= (degree$b ?v0) zero$a))) :named a163)) -(assert (! (= (of_bool$ false) zero$) :named a164)) -(assert (! (= (of_bool$a false) zero$c) :named a165)) -(assert (! (= (of_bool$b false) zero$a) :named a166)) -(assert (! (= (of_bool$b true) one$) :named a167)) -(assert (! (forall ((?v0 Complex$)) (= (synthetic_div$ zero$c ?v0) zero$c)) :named a168)) -(assert (! (forall ((?v0 Nat$)) (= (poly_shift$ ?v0 zero$c) zero$c)) :named a169)) -(assert (! (forall ((?v0 Nat$)) (= (poly_cutoff$ ?v0 zero$c) zero$c)) :named a170)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (= (plus$a ?v0 ?v1) (plus$a ?v0 ?v2)) (= ?v1 ?v2))) :named a171)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (= (plus$a ?v0 ?v1) (plus$a ?v2 ?v1)) (= ?v0 ?v2))) :named a172)) -(assert (! (forall ((?v0 Bool)) (! (= (of_bool$ ?v0) (ite ?v0 one$b zero$)) :pattern ((of_bool$ ?v0)))) :named a173)) -(assert (! (forall ((?v0 Bool)) (! (= (of_bool$a ?v0) (ite ?v0 one$a zero$c)) :pattern ((of_bool$a ?v0)))) :named a174)) -(assert (! (forall ((?v0 Bool)) (! (= (of_bool$b ?v0) (ite ?v0 one$ zero$a)) :pattern ((of_bool$b ?v0)))) :named a175)) -(assert (! (forall ((?v0 (-> Complex$ Bool)) (?v1 Bool)) (= (?v0 (of_bool$ ?v1)) (and (=> ?v1 (?v0 one$b)) (=> (not ?v1) (?v0 zero$))))) :named a176)) -(assert (! (forall ((?v0 (-> Complex_poly$ Bool)) (?v1 Bool)) (= (?v0 (of_bool$a ?v1)) (and (=> ?v1 (?v0 one$a)) (=> (not ?v1) (?v0 zero$c))))) :named a177)) -(assert (! (forall ((?v0 (-> Nat$ Bool)) (?v1 Bool)) (= (?v0 (of_bool$b ?v1)) (and (=> ?v1 (?v0 one$)) (=> (not ?v1) (?v0 zero$a))))) :named a178)) -(assert (! (forall ((?v0 (-> Complex$ Bool)) (?v1 Bool)) (= (?v0 (of_bool$ ?v1)) (not (or (and ?v1 (not (?v0 one$b))) (and (not ?v1) (not (?v0 zero$))))))) :named a179)) -(assert (! (forall ((?v0 (-> Complex_poly$ Bool)) (?v1 Bool)) (= (?v0 (of_bool$a ?v1)) (not (or (and ?v1 (not (?v0 one$a))) (and (not ?v1) (not (?v0 zero$c))))))) :named a180)) -(assert (! (forall ((?v0 (-> Nat$ Bool)) (?v1 Bool)) (= (?v0 (of_bool$b ?v1)) (not (or (and ?v1 (not (?v0 one$))) (and (not ?v1) (not (?v0 zero$a))))))) :named a181)) -(assert (! (forall ((?v0 Nat$)) (= (plus$a zero$a ?v0) ?v0)) :named a182)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (=> (= (plus$a ?v0 ?v1) ?v0) (= ?v1 zero$a))) :named a183)) -(assert (! (forall ((?v0 Nat$)) (=> (and (=> (= ?v0 zero$a) false) (=> (not (= ?v0 zero$a)) false)) false)) :named a184)) -(assert (! (forall ((?v0 (-> Nat$ (-> Nat$ Bool))) (?v1 Nat$) (?v2 Nat$)) (=> (and (forall ((?v3 Nat$) (?v4 Nat$)) (= (?v0 ?v3 ?v4) (?v0 ?v4 ?v3))) (and (forall ((?v3 Nat$)) (?v0 ?v3 zero$a)) (forall ((?v3 Nat$) (?v4 Nat$)) (=> (?v0 ?v3 ?v4) (?v0 ?v3 (plus$a ?v3 ?v4)))))) (?v0 ?v1 ?v2))) :named a185)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (= (forall ((?v2 Complex$)) (=> (= (poly$ ?v0 ?v2) zero$) (= (poly$ ?v1 ?v2) zero$))) (or (dvd$ ?v0 (power$ ?v1 (degree$b ?v0))) (and (= ?v0 zero$c) (= ?v1 zero$c))))) :named a186)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$) (?v2 Nat$)) (=> (and (forall ((?v3 Complex$)) (=> (= (poly$ ?v0 ?v3) zero$) (= (poly$ ?v1 ?v3) zero$))) (and (= (degree$b ?v0) ?v2) (not (= ?v2 zero$a)))) (dvd$ ?v0 (power$ ?v1 ?v2)))) :named a187)) -(assert (! (forall ((?v0 Complex_poly$)) (! (= (is_zero$ ?v0) (= ?v0 zero$c)) :pattern ((is_zero$ ?v0)))) :named a188)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex$)) (= (= (poly$ ?v0 ?v1) zero$) (or (= ?v0 zero$c) (not (= (order$ ?v1 ?v0) zero$a))))) :named a189)) -(assert (! (forall ((?v0 Complex_poly_poly$) (?v1 Complex_poly$)) (= (= (poly$a ?v0 ?v1) zero$c) (or (= ?v0 zero$b) (not (= (order$a ?v1 ?v0) zero$a))))) :named a190)) -(assert (! (forall ((?v0 Complex$)) (dvd$a ?v0 zero$)) :named a191)) -(assert (! (forall ((?v0 Complex_poly$)) (dvd$ ?v0 zero$c)) :named a192)) -(assert (! (forall ((?v0 Nat$)) (dvd$b ?v0 zero$a)) :named a193)) -(assert (! (forall ((?v0 Complex$)) (= (dvd$a zero$ ?v0) (= ?v0 zero$))) :named a194)) -(assert (! (forall ((?v0 Complex_poly$)) (= (dvd$ zero$c ?v0) (= ?v0 zero$c))) :named a195)) -(assert (! (forall ((?v0 Nat$)) (= (dvd$b zero$a ?v0) (= ?v0 zero$a))) :named a196)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (= (dvd$ ?v0 (plus$c ?v0 ?v1)) (dvd$ ?v0 ?v1))) :named a197)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (dvd$b ?v0 (plus$a ?v0 ?v1)) (dvd$b ?v0 ?v1))) :named a198)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (= (dvd$ ?v0 (plus$c ?v1 ?v0)) (dvd$ ?v0 ?v1))) :named a199)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (dvd$b ?v0 (plus$a ?v1 ?v0)) (dvd$b ?v0 ?v1))) :named a200)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (=> (not (= ?v0 zero$a)) (= (dvd$b (power$c ?v1 ?v0) (power$c ?v2 ?v0)) (dvd$b ?v1 ?v2)))) :named a201)) -(assert (! (forall ((?v0 Complex$)) (=> (dvd$a zero$ ?v0) (= ?v0 zero$))) :named a202)) -(assert (! (forall ((?v0 Complex_poly$)) (=> (dvd$ zero$c ?v0) (= ?v0 zero$c))) :named a203)) -(assert (! (forall ((?v0 Nat$)) (=> (dvd$b zero$a ?v0) (= ?v0 zero$a))) :named a204)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$) (?v2 Complex_poly$)) (=> (dvd$ ?v0 ?v1) (= (dvd$ ?v0 (plus$c ?v1 ?v2)) (dvd$ ?v0 ?v2)))) :named a205)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (=> (dvd$b ?v0 ?v1) (= (dvd$b ?v0 (plus$a ?v1 ?v2)) (dvd$b ?v0 ?v2)))) :named a206)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$) (?v2 Complex_poly$)) (=> (dvd$ ?v0 ?v1) (= (dvd$ ?v0 (plus$c ?v2 ?v1)) (dvd$ ?v0 ?v2)))) :named a207)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (=> (dvd$b ?v0 ?v1) (= (dvd$b ?v0 (plus$a ?v2 ?v1)) (dvd$b ?v0 ?v2)))) :named a208)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$) (?v2 Complex_poly$)) (=> (and (dvd$ ?v0 ?v1) (dvd$ ?v0 ?v2)) (dvd$ ?v0 (plus$c ?v1 ?v2)))) :named a209)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (=> (and (dvd$b ?v0 ?v1) (dvd$b ?v0 ?v2)) (dvd$b ?v0 (plus$a ?v1 ?v2)))) :named a210)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (=> (and (dvd$ ?v0 ?v1) (dvd$ ?v1 one$a)) (dvd$ ?v0 one$a))) :named a211)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (=> (and (dvd$b ?v0 ?v1) (dvd$b ?v1 one$)) (dvd$b ?v0 one$))) :named a212)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (=> (dvd$ ?v0 one$a) (dvd$ ?v0 ?v1))) :named a213)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (=> (dvd$b ?v0 one$) (dvd$b ?v0 ?v1))) :named a214)) -(assert (! (forall ((?v0 Complex_poly$)) (dvd$ one$a ?v0)) :named a215)) -(assert (! (forall ((?v0 Nat$)) (dvd$b one$ ?v0)) :named a216)) -(assert (! (forall ((?v0 Complex_poly$)) (dvd$ ?v0 ?v0)) :named a217)) -(assert (! (forall ((?v0 Nat$)) (dvd$b ?v0 ?v0)) :named a218)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$) (?v2 Complex_poly$)) (=> (and (dvd$ ?v0 ?v1) (dvd$ ?v1 ?v2)) (dvd$ ?v0 ?v2))) :named a219)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (=> (and (dvd$b ?v0 ?v1) (dvd$b ?v1 ?v2)) (dvd$b ?v0 ?v2))) :named a220)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$) (?v2 Nat$)) (=> (dvd$ ?v0 ?v1) (dvd$ (power$ ?v0 ?v2) (power$ ?v1 ?v2)))) :named a221)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (=> (dvd$b ?v0 ?v1) (dvd$b (power$c ?v0 ?v2) (power$c ?v1 ?v2)))) :named a222)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (=> (and (dvd$b (power$c ?v0 ?v1) (power$c ?v2 ?v1)) (not (= ?v1 zero$a))) (dvd$b ?v0 ?v2))) :named a223)) -(assert (! (not (dvd$ zero$c one$a)) :named a224)) -(assert (! (not (dvd$b zero$a one$)) :named a225)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$)) (= (dvd$ (power$ ?v0 ?v1) one$a) (or (dvd$ ?v0 one$a) (= ?v1 zero$a)))) :named a226)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (dvd$b (power$c ?v0 ?v1) one$) (or (dvd$b ?v0 one$) (= ?v1 zero$a)))) :named a227)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex$)) (! (=> (not (= (poly$ ?v0 ?v1) zero$)) (= (order$ ?v1 ?v0) zero$a)) :pattern ((order$ ?v1 ?v0)))) :named a228)) -(assert (! (forall ((?v0 Complex_poly_poly$) (?v1 Complex_poly$)) (! (=> (not (= (poly$a ?v0 ?v1) zero$c)) (= (order$a ?v1 ?v0) zero$a)) :pattern ((order$a ?v1 ?v0)))) :named a229)) -(assert (! (forall ((?v0 Complex_poly$)) (=> (not (= ?v0 zero$c)) (= (dvd$ ?v0 one$a) (= (degree$b ?v0) zero$a)))) :named a230)) -(assert (! (forall ((?v0 Complex_poly$)) (= (rsquarefree$ ?v0) (and (not (= ?v0 zero$c)) (forall ((?v1 Complex$)) (or (= (order$ ?v1 ?v0) zero$a) (= (order$ ?v1 ?v0) one$)))))) :named a231)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex$) (?v2 Complex_poly$)) (=> (not (= ?v0 zero$c)) (= (exists ((?v3 Complex$)) (and (= (poly$ (pCons$ ?v1 ?v0) ?v3) zero$) (not (= (poly$ ?v2 ?v3) zero$)))) (not (dvd$ (pCons$ ?v1 ?v0) (power$ ?v2 (psize$ ?v0))))))) :named a232)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex$)) (! (= (dvd$a ?v0 ?v1) (=> (= ?v0 zero$) (= ?v1 zero$))) :pattern ((dvd$a ?v0 ?v1)))) :named a233)) -(assert (! (forall ((?v0 Complex_poly$)) (=> (dvd$ ?v0 one$a) (= (monom$ (coeff$b ?v0 (degree$b ?v0)) zero$a) ?v0))) :named a234)) -(assert (! (forall ((?v0 Nat$)) (= (dvd$b ?v0 one$) (= ?v0 one$))) :named a235)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex_poly$) (?v2 Complex$) (?v3 Complex_poly$)) (= (= (pCons$ ?v0 ?v1) (pCons$ ?v2 ?v3)) (and (= ?v0 ?v2) (= ?v1 ?v3)))) :named a236)) -(assert (! (= (pCons$ zero$ zero$c) zero$c) :named a237)) -(assert (! (= (pCons$a zero$c zero$b) zero$b) :named a238)) -(assert (! (= (pCons$b zero$a zero$d) zero$d) :named a239)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly_poly$)) (= (= (pCons$a ?v0 ?v1) zero$b) (and (= ?v0 zero$c) (= ?v1 zero$b)))) :named a240)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat_poly$)) (= (= (pCons$b ?v0 ?v1) zero$d) (and (= ?v0 zero$a) (= ?v1 zero$d)))) :named a241)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex_poly$)) (= (= (pCons$ ?v0 ?v1) zero$c) (and (= ?v0 zero$) (= ?v1 zero$c)))) :named a242)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex_poly$)) (= (coeff$b (pCons$ ?v0 ?v1) zero$a) ?v0)) :named a243)) -(assert (! (forall ((?v0 Nat$)) (= (monom$ zero$ ?v0) zero$c)) :named a244)) -(assert (! (forall ((?v0 Nat$)) (= (monom$a zero$c ?v0) zero$b)) :named a245)) -(assert (! (forall ((?v0 Nat$)) (= (monom$b zero$a ?v0) zero$d)) :named a246)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$)) (= (= (monom$a ?v0 ?v1) zero$b) (= ?v0 zero$c))) :named a247)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (monom$b ?v0 ?v1) zero$d) (= ?v0 zero$a))) :named a248)) -(assert (! (forall ((?v0 Complex$) (?v1 Nat$)) (= (= (monom$ ?v0 ?v1) zero$c) (= ?v0 zero$))) :named a249)) -(assert (! (forall ((?v0 Complex$) (?v1 Nat$) (?v2 Nat$)) (= (coeff$b (monom$ ?v0 ?v1) ?v2) (ite (= ?v1 ?v2) ?v0 zero$))) :named a250)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$) (?v2 Nat$)) (= (coeff$ (monom$a ?v0 ?v1) ?v2) (ite (= ?v1 ?v2) ?v0 zero$c))) :named a251)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (coeff$a (monom$b ?v0 ?v1) ?v2) (ite (= ?v1 ?v2) ?v0 zero$a))) :named a252)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex_poly$) (?v2 Complex$) (?v3 Complex_poly$)) (= (plus$c (pCons$ ?v0 ?v1) (pCons$ ?v2 ?v3)) (pCons$ (plus$ ?v0 ?v2) (plus$c ?v1 ?v3)))) :named a253)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat_poly$) (?v2 Nat$) (?v3 Nat_poly$)) (= (plus$b (pCons$b ?v0 ?v1) (pCons$b ?v2 ?v3)) (pCons$b (plus$a ?v0 ?v2) (plus$b ?v1 ?v3)))) :named a254)) -(assert (! (forall ((?v0 Complex$) (?v1 Nat$)) (= (coeff$b (monom$ ?v0 ?v1) (degree$b (monom$ ?v0 ?v1))) ?v0)) :named a255)) -(assert (! (forall ((?v0 Complex$) (?v1 Nat$)) (=> (not (= ?v0 zero$)) (= (order$ zero$ (monom$ ?v0 ?v1)) ?v1))) :named a256)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$)) (=> (not (= ?v0 zero$c)) (= (order$a zero$c (monom$a ?v0 ?v1)) ?v1))) :named a257)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex_poly$)) (= (pcompose$ (pCons$ ?v0 zero$c) ?v1) (pCons$ ?v0 zero$c))) :named a258)) -(assert (! (forall ((?v0 Complex$)) (= (reflect_poly$ (pCons$ ?v0 zero$c)) (pCons$ ?v0 zero$c))) :named a259)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex_poly$) (?v2 Complex$)) (= (synthetic_div$ (pCons$ ?v0 ?v1) ?v2) (pCons$ (poly$ ?v1 ?v2) (synthetic_div$ ?v1 ?v2)))) :named a260)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex$)) (=> (= ?v0 zero$c) (= (coeff$b (pCons$ ?v1 ?v0) (degree$b (pCons$ ?v1 ?v0))) ?v1))) :named a261)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex$)) (=> (not (= ?v0 zero$c)) (= (coeff$b (pCons$ ?v1 ?v0) (degree$b (pCons$ ?v1 ?v0))) (coeff$b ?v0 (degree$b ?v0))))) :named a262)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (= (dvd$c (pCons$a ?v0 zero$b) (pCons$a ?v1 zero$b)) (dvd$ ?v0 ?v1))) :named a263)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (dvd$d (pCons$b ?v0 zero$d) (pCons$b ?v1 zero$d)) (dvd$b ?v0 ?v1))) :named a264)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex$)) (= (dvd$ (pCons$ ?v0 zero$c) (pCons$ ?v1 zero$c)) (dvd$a ?v0 ?v1))) :named a265)) -(assert (! (= (= (pCons$b one$ zero$d) one$c) true) :named a266)) -(assert (! (= (= (pCons$ one$b zero$c) one$a) true) :named a267)) -(assert (! (= (= one$c (pCons$b one$ zero$d)) true) :named a268)) -(assert (! (= (= one$a (pCons$ one$b zero$c)) true) :named a269)) -(assert (! (= (monom$b one$ zero$a) one$c) :named a270)) -(assert (! (forall ((?v0 Complex_poly$)) (= (pcompose$ ?v0 (pCons$ zero$ (pCons$ one$b zero$c))) ?v0)) :named a271)) -(assert (! (forall ((?v0 Complex_poly_poly$)) (= (pcompose$a ?v0 (pCons$a zero$c (pCons$a one$a zero$b))) ?v0)) :named a272)) -(assert (! (forall ((?v0 Nat_poly$)) (= (pcompose$b ?v0 (pCons$b zero$a (pCons$b one$ zero$d))) ?v0)) :named a273)) -(assert (! (forall ((?v0 Nat$)) (=> (dvd$b zero$a ?v0) (= ?v0 zero$a))) :named a274)) -(assert (! (forall ((?v0 Nat$)) (= (not (= ?v0 zero$a)) (and (dvd$b ?v0 zero$a) (not (= ?v0 zero$a))))) :named a275)) -(assert (! (forall ((?v0 Nat$)) (! (= (dvd$b zero$a ?v0) (= ?v0 zero$a)) :pattern ((dvd$b zero$a ?v0)))) :named a276)) -(assert (! (forall ((?v0 Nat$)) (not (and (dvd$b zero$a ?v0) (not (= zero$a ?v0))))) :named a277)) -(assert (! (forall ((?v0 Nat$)) (dvd$b ?v0 zero$a)) :named a278)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$) (?v2 Complex_poly$)) (= (= (monom$a ?v0 ?v1) (pCons$a ?v2 zero$b)) (and (= ?v0 ?v2) (or (= ?v0 zero$c) (= ?v1 zero$a))))) :named a279)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (= (monom$b ?v0 ?v1) (pCons$b ?v2 zero$d)) (and (= ?v0 ?v2) (or (= ?v0 zero$a) (= ?v1 zero$a))))) :named a280)) -(assert (! (forall ((?v0 Complex$) (?v1 Nat$) (?v2 Complex$)) (= (= (monom$ ?v0 ?v1) (pCons$ ?v2 zero$c)) (and (= ?v0 ?v2) (or (= ?v0 zero$) (= ?v1 zero$a))))) :named a281)) -(assert (! (forall ((?v0 Complex_poly$)) (=> (forall ((?v1 Complex$) (?v2 Complex_poly$)) (=> (= ?v0 (pCons$ ?v1 ?v2)) false)) false)) :named a282)) -(assert (! (forall ((?v0 Complex_poly$)) (=> (forall ((?v1 Complex$) (?v2 Complex_poly$)) (=> (= ?v0 (pCons$ ?v1 ?v2)) false)) false)) :named a283)) -(assert (! (forall ((?v0 (-> Complex_poly$ (-> Complex_poly$ Bool))) (?v1 Complex_poly$) (?v2 Complex_poly$)) (=> (and (?v0 zero$c zero$c) (forall ((?v3 Complex$) (?v4 Complex_poly$) (?v5 Complex$) (?v6 Complex_poly$)) (=> (?v0 ?v4 ?v6) (?v0 (pCons$ ?v3 ?v4) (pCons$ ?v5 ?v6))))) (?v0 ?v1 ?v2))) :named a284)) -(assert (! (forall ((?v0 Complex$) (?v1 Nat$) (?v2 Complex$) (?v3 Nat$)) (= (= (monom$ ?v0 ?v1) (monom$ ?v2 ?v3)) (and (= ?v0 ?v2) (or (= ?v0 zero$) (= ?v1 ?v3))))) :named a285)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$) (?v2 Complex_poly$) (?v3 Nat$)) (= (= (monom$a ?v0 ?v1) (monom$a ?v2 ?v3)) (and (= ?v0 ?v2) (or (= ?v0 zero$c) (= ?v1 ?v3))))) :named a286)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$) (?v3 Nat$)) (= (= (monom$b ?v0 ?v1) (monom$b ?v2 ?v3)) (and (= ?v0 ?v2) (or (= ?v0 zero$a) (= ?v1 ?v3))))) :named a287)) -(assert (! (forall ((?v0 Complex$)) (! (= (monom$ ?v0 zero$a) (pCons$ ?v0 zero$c)) :pattern ((monom$ ?v0)))) :named a288)) -(assert (! (forall ((?v0 (-> Complex_poly_poly$ Bool)) (?v1 Complex_poly_poly$)) (=> (and (?v0 zero$b) (forall ((?v2 Complex_poly$) (?v3 Complex_poly_poly$)) (=> (and (or (not (= ?v2 zero$c)) (not (= ?v3 zero$b))) (?v0 ?v3)) (?v0 (pCons$a ?v2 ?v3))))) (?v0 ?v1))) :named a289)) -(assert (! (forall ((?v0 (-> Nat_poly$ Bool)) (?v1 Nat_poly$)) (=> (and (?v0 zero$d) (forall ((?v2 Nat$) (?v3 Nat_poly$)) (=> (and (or (not (= ?v2 zero$a)) (not (= ?v3 zero$d))) (?v0 ?v3)) (?v0 (pCons$b ?v2 ?v3))))) (?v0 ?v1))) :named a290)) -(assert (! (forall ((?v0 (-> Complex_poly$ Bool)) (?v1 Complex_poly$)) (=> (and (?v0 zero$c) (forall ((?v2 Complex$) (?v3 Complex_poly$)) (=> (and (or (not (= ?v2 zero$)) (not (= ?v3 zero$c))) (?v0 ?v3)) (?v0 (pCons$ ?v2 ?v3))))) (?v0 ?v1))) :named a291)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex$)) (=> (= (poly$ ?v0 ?v1) zero$) (= (poly$ (pCons$ zero$ ?v0) ?v1) zero$))) :named a292)) -(assert (! (forall ((?v0 Complex_poly_poly$) (?v1 Complex_poly$)) (=> (= (poly$a ?v0 ?v1) zero$c) (= (poly$a (pCons$a zero$c ?v0) ?v1) zero$c))) :named a293)) -(assert (! (forall ((?v0 Nat_poly$) (?v1 Nat$)) (=> (= (poly$b ?v0 ?v1) zero$a) (= (poly$b (pCons$b zero$a ?v0) ?v1) zero$a))) :named a294)) -(assert (! (forall ((?v0 Complex$) (?v1 Nat$)) (=> (not (= ?v0 zero$)) (= (degree$b (monom$ ?v0 ?v1)) ?v1))) :named a295)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$)) (=> (not (= ?v0 zero$c)) (= (degree$ (monom$a ?v0 ?v1)) ?v1))) :named a296)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (=> (not (= ?v0 zero$a)) (= (degree$a (monom$b ?v0 ?v1)) ?v1))) :named a297)) -(assert (! (forall ((?v0 Complex$) (?v1 Nat$) (?v2 Nat$)) (= (coeff$b (monom$ ?v0 ?v1) ?v2) (ite (= ?v1 ?v2) ?v0 zero$))) :named a298)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Nat$) (?v2 Nat$)) (= (coeff$ (monom$a ?v0 ?v1) ?v2) (ite (= ?v1 ?v2) ?v0 zero$c))) :named a299)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (coeff$a (monom$b ?v0 ?v1) ?v2) (ite (= ?v1 ?v2) ?v0 zero$a))) :named a300)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly$)) (=> (dvd$ ?v0 ?v1) (dvd$ ?v0 (pCons$ zero$ ?v1)))) :named a301)) -(assert (! (forall ((?v0 Complex_poly_poly$) (?v1 Complex_poly_poly$)) (=> (dvd$c ?v0 ?v1) (dvd$c ?v0 (pCons$a zero$c ?v1)))) :named a302)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex$)) (= (poly$ (pCons$ (poly$ zero$c ?v0) zero$c) ?v1) (poly$ zero$c ?v1))) :named a303)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex$)) (= ?v0 (poly$ (pCons$ ?v0 zero$c) ?v1))) :named a304)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (plus$b (monom$b ?v0 ?v1) (monom$b ?v2 ?v1)) (monom$b (plus$a ?v0 ?v2) ?v1))) :named a305)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex$)) (= (offset_poly$ (pCons$ ?v0 zero$c) ?v1) (pCons$ ?v0 zero$c))) :named a306)) -(assert (! (forall ((?v0 Complex_poly$)) (= (exists ((?v1 Complex_poly$)) (= (poly$a (pCons$a ?v0 zero$b) ?v1) zero$c)) (= ?v0 zero$c))) :named a307)) -(assert (! (forall ((?v0 Nat$)) (= (exists ((?v1 Nat$)) (= (poly$b (pCons$b ?v0 zero$d) ?v1) zero$a)) (= ?v0 zero$a))) :named a308)) -(assert (! (forall ((?v0 Complex$)) (= (exists ((?v1 Complex$)) (= (poly$ (pCons$ ?v0 zero$c) ?v1) zero$)) (= ?v0 zero$))) :named a309)) -(assert (! (forall ((?v0 Complex_poly$)) (= (exists ((?v1 Complex_poly$)) (not (= (poly$a (pCons$a ?v0 zero$b) ?v1) zero$c))) (not (= ?v0 zero$c)))) :named a310)) -(assert (! (forall ((?v0 Nat$)) (= (exists ((?v1 Nat$)) (not (= (poly$b (pCons$b ?v0 zero$d) ?v1) zero$a))) (not (= ?v0 zero$a)))) :named a311)) -(assert (! (forall ((?v0 Complex$)) (= (exists ((?v1 Complex$)) (not (= (poly$ (pCons$ ?v0 zero$c) ?v1) zero$))) (not (= ?v0 zero$)))) :named a312)) -(assert (! (forall ((?v0 Complex$)) (= (poly$ (pCons$ zero$ zero$c) ?v0) (poly$ zero$c ?v0))) :named a313)) -(assert (! (forall ((?v0 Complex_poly$)) (= (poly$a (pCons$a zero$c zero$b) ?v0) (poly$a zero$b ?v0))) :named a314)) -(assert (! (forall ((?v0 Complex$)) (= (degree$b (pCons$ ?v0 zero$c)) zero$a)) :named a315)) -(assert (! (forall ((?v0 Complex_poly$)) (=> (and (= (degree$b ?v0) zero$a) (forall ((?v1 Complex$)) (=> (= ?v0 (pCons$ ?v1 zero$c)) false))) false)) :named a316)) -(assert (! (= (pCons$b one$ zero$d) one$c) :named a317)) -(assert (! (= (pCons$ one$b zero$c) one$a) :named a318)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (monom$b ?v0 ?v1) one$c) (and (= ?v0 one$) (= ?v1 zero$a)))) :named a319)) -(assert (! (forall ((?v0 Complex$)) (= ?v0 (poly$ (pCons$ zero$ (pCons$ one$b zero$c)) ?v0))) :named a320)) -(assert (! (forall ((?v0 Complex_poly$)) (= ?v0 (poly$a (pCons$a zero$c (pCons$a one$a zero$b)) ?v0))) :named a321)) -(assert (! (forall ((?v0 Complex_poly$)) (=> (not (exists ((?v1 Complex$) (?v2 Complex_poly$)) (and (not (= ?v1 zero$)) (and (= ?v2 zero$c) (= ?v0 (pCons$ ?v1 ?v2)))))) (exists ((?v1 Complex$)) (= (poly$ ?v0 ?v1) zero$)))) :named a322)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex$) (?v2 Complex$)) (=> (not (= ?v0 zero$c)) (exists ((?v3 Complex$)) (= (poly$ (pCons$ ?v1 (pCons$ ?v2 ?v0)) ?v3) zero$)))) :named a323)) -(assert (! (forall ((?v0 Complex_poly$) (?v1 Complex_poly_poly$)) (= (dvd$c (pCons$a ?v0 zero$b) ?v1) (forall ((?v2 Nat$)) (dvd$ ?v0 (coeff$ ?v1 ?v2))))) :named a324)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat_poly$)) (= (dvd$d (pCons$b ?v0 zero$d) ?v1) (forall ((?v2 Nat$)) (dvd$b ?v0 (coeff$a ?v1 ?v2))))) :named a325)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex_poly$)) (= (dvd$ (pCons$ ?v0 zero$c) ?v1) (forall ((?v2 Nat$)) (dvd$a ?v0 (coeff$b ?v1 ?v2))))) :named a326)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (degree$a (power$b (pCons$b ?v0 (pCons$b one$ zero$d)) ?v1)) ?v1)) :named a327)) -(assert (! (forall ((?v0 Complex$) (?v1 Nat$)) (= (degree$b (power$ (pCons$ ?v0 (pCons$ one$b zero$c)) ?v1)) ?v1)) :named a328)) -(assert (! (forall ((?v0 Complex_poly$)) (= (pcompose$ ?v0 zero$c) (pCons$ (coeff$b ?v0 zero$a) zero$c))) :named a329)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (coeff$a (power$b (pCons$b ?v0 (pCons$b one$ zero$d)) ?v1) ?v1) one$)) :named a330)) -(assert (! (forall ((?v0 Complex$) (?v1 Nat$)) (= (coeff$b (power$ (pCons$ ?v0 (pCons$ one$b zero$c)) ?v1) ?v1) one$b)) :named a331)) -(assert (! (forall ((?v0 Complex$) (?v1 Complex_poly$)) (= (dvd$ (pCons$ ?v0 ?v1) one$a) (and (= ?v1 zero$c) (not (= ?v0 zero$))))) :named a332)) -(assert (! (forall ((?v0 Complex$)) (=> (not (= ?v0 zero$)) (dvd$ (pCons$ ?v0 zero$c) one$a))) :named a333)) -(assert (! (forall ((?v0 Complex_poly$)) (=> (and (dvd$ ?v0 one$a) (forall ((?v1 Complex$)) (=> (and (= ?v0 (monom$ ?v1 zero$a)) (not (= ?v1 zero$))) false))) false)) :named a334)) -(assert (! (forall ((?v0 Complex$)) (=> (not (= ?v0 zero$)) (dvd$ (monom$ ?v0 zero$a) one$a))) :named a335)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (= (times$ ?v0 ?v1) (times$ ?v2 ?v1)) (or (= ?v0 ?v2) (= ?v1 zero$a)))) :named a336)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (= (times$ ?v0 ?v1) (times$ ?v0 ?v2)) (or (= ?v1 ?v2) (= ?v0 zero$a)))) :named a337)) -(assert (! (forall ((?v0 Nat$)) (! (= (times$ ?v0 zero$a) zero$a) :pattern ((times$ ?v0)))) :named a338)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (times$ ?v0 ?v1) zero$a) (or (= ?v0 zero$a) (= ?v1 zero$a)))) :named a339)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (suc$ ?v0) (suc$ ?v1)) (= ?v0 ?v1))) :named a340)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (suc$ ?v0) (suc$ ?v1)) (= ?v0 ?v1))) :named a341)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (times$ ?v0 ?v1) one$) (and (= ?v0 one$) (= ?v1 one$)))) :named a342)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= one$ (times$ ?v0 ?v1)) (and (= ?v0 one$) (= ?v1 one$)))) :named a343)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (times$ ?v0 ?v1) (suc$ zero$a)) (and (= ?v0 (suc$ zero$a)) (= ?v1 (suc$ zero$a))))) :named a344)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (suc$ zero$a) (times$ ?v0 ?v1)) (and (= ?v0 (suc$ zero$a)) (= ?v1 (suc$ zero$a))))) :named a345)) -(assert (! (forall ((?v0 Nat$)) (! (= (power$c (suc$ zero$a) ?v0) (suc$ zero$a)) :pattern ((power$c (suc$ zero$a) ?v0)))) :named a346)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (= (power$c ?v0 ?v1) (suc$ zero$a)) (or (= ?v1 zero$a) (= ?v0 (suc$ zero$a))))) :named a347)) -(assert (! (forall ((?v0 Nat$)) (less_eq$ zero$a ?v0)) :named a348)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (less_eq$ (suc$ ?v0) (suc$ ?v1)) (less_eq$ ?v0 ?v1))) :named a349)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (= (plus$a ?v0 (suc$ ?v1)) (suc$ (plus$a ?v0 ?v1)))) :named a350)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$)) (! (= (times$ ?v0 (suc$ ?v1)) (plus$a ?v0 (times$ ?v0 ?v1))) :pattern ((times$ ?v0 (suc$ ?v1))))) :named a351)) -(assert (! (forall ((?v0 Nat$) (?v1 Nat$) (?v2 Nat$)) (= (less_eq$ (plus$a ?v0 ?v1) (plus$a ?v0 ?v2)) (less_eq$ ?v1 ?v2))) :named a352)) -(check-sat) |